Unit 19 — Complex Numbers

Topic 1: Number and Algebra

Complex Numbers for IB Math AA HL: notes on Complex Numbers in Cartesian Form, Conjugates and Polynomial Equations, The Argand Diagram, Modulus and Argument, Polar and Euler Forms, De Moivre’s…

Syllabus content: AHL 1.12 AHL 1.14 AHL 1.13

HL only. This whole unit is for HL students. SL students can skip it.

Section Syllabus
19.1 Complex Numbers in Cartesian Form AHL 1.12
19.2 Conjugates and Polynomial Equations AHL 1.12 AHL 1.14
19.3 The Argand Diagram, Modulus and Argument AHL 1.12
19.4 Polar and Euler Forms AHL 1.13
19.5 De Moivre’s Theorem AHL 1.14
19.6 Roots of Complex Numbers AHL 1.14
19.7 Geometric Interpretation AHL 1.13

Review exercises